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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=1, b>=a > For fixed z and a=1, b=21/4





http://functions.wolfram.com/07.23.03.ajku.01









  


  










Input Form





Hypergeometric2F1[1, 21/4, -(17/4), z] == (1/(663 (-1 + z)^11)) ((-1 + z) (663 - 7449 z + 39600 z^2 - 137240 z^3 + 392630 z^4 - 2330706 z^5 - 253400 z^6 + 57680 z^7 - 9765 z^8 + 819 z^9) + 1123584 Sqrt[1 - z] z^(21/4) Beta[z, 3/4, 1/2])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02